A Basic Course in Statistics

Populations and variates. Measures of the centre of a set of observations. Samples and populations. The measurement of variability. Looking at data. Probability. Probabilities of compound events. Discrete random variable. Expectation of a random variable. Joint distributions. Estimation. Collecting data. Significance testing. Continuous random variables. The normal distribution. Sampling distributions of means and related quantities. Significance tests using the normal distribution. Estimation of intervals and parameters. Hypothesis tests using the chi-squared distribution. Poisson distribution. Correlation. The analysis of variance. Simple linear regression. Multiple regression.